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Finding the Fourth Proportional to 33,842.25, 50,762.34 and 16,085.70

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Solution

The fourth proportional to 33,842.25, 50,762.34 and 16,085.70 is: 24,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,842.25 : 50,762.34 = 16,085.70 : x
  2. Step 2: Convert to fraction form
    33,842.25/50,762.34 = 16,085.70/x
  3. Step 3: Cross multiply
    33,842.25x = 50,762.34 × 16,085.70
  4. Step 4: Simplify right side
    33,842.25x = 816,547,772.54
  5. Step 5: Solve for x
    x = 816,547,772.54/33,842.25
  6. Step 6: Final answer
    x = 24,128.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.